Which of the following is a possible combination of the zeros for g(x) = 3x4 + 5x3 + 19x2 + 35x - 14
A.
0 positive real zeros
1 negative real zero
3 complex zeros
B.
1 positive real zeros
0 negative real zero
3 complex zeros
C.
1 positive real zeros
2 negative real zero
1 complex zeros
D.
1 positive real zeros
3 negative real zero
0 complex zeros

Question

Which of the following is a possible combination of the zeros for g(x) = 3x4 + 5x3 + 19x2 + 35x - 14
	A.	
0 positive real zeros
1 negative real zero
3 complex zeros
	B.	
1 positive real zeros
0 negative real zero
3 complex zeros
	C.	
1 positive real zeros
2 negative real zero
1 complex zeros
	D.	
1 positive real zeros
3 negative real zero
0 complex zeros

anonymous · Answer

descartes rule of sign for this one

anonymous · Answer

$$g(x) = 3x^4 + 5x^3 + 19x^2 + 35x - 14$$ has one change in sign only ,from +35 to -14
so there must be one positive zero

anonymous · Answer

now compute $g(-x)$ and let me know what you get

anonymous · Answer

I got B is that correct?

anonymous · Answer

@satellite73